Details

sample125.0ms

Algorithm

halfpoints

Results

simplify766.0ms

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize68.0ms

Local error

Found 1 expressions with local error:

0.3b	(-.p16 (.p16 x.re y.re) (.p16 x.im y.im))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

1×	`sub-neg` `p16-flip--`

Counts

1 → 2

Calls

1 calls:

Slowest

4.0ms

(-.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))

series0.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

0.0ms

(-.p16 (*.p16 x.re y.re) (*.p16 x.im y.im))

simplify639.0ms

Counts: 3 → 3

prune43.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize154.0ms

Local error

Found 4 expressions with local error:

1.4b	(/.p16 (-.p16 (.p16 (.p16 x.re y.re) (.p16 x.re y.re)) (.p16 (.p16 x.im y.im) (.p16 x.im y.im))) (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)))
0.2b	(-.p16 (.p16 (.p16 x.re y.re) (.p16 x.re y.re)) (.p16 (.p16 x.im y.im) (.p16 x.im y.im)))
0.2b	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))
0.2b	(.p16 (.p16 x.im y.im) (*.p16 x.im y.im))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

2×	`p16-flip--` `difference-of-squares`
1×	`+-commutative` `sub-neg` `associate-r` `associate-l` `-commutative` `associate-/l` `associate-/l/`

Counts

4 → 9

Calls

4 calls:

Slowest

13.0ms	(-.p16 (.p16 (.p16 x.re y.re) (.p16 x.re y.re)) (.p16 (.p16 x.im y.im) (.p16 x.im y.im)))
12.0ms	(/.p16 (-.p16 (.p16 (.p16 x.re y.re) (.p16 x.re y.re)) (.p16 (.p16 x.im y.im) (.p16 x.im y.im))) (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)))
10.0ms	(.p16 (.p16 x.im y.im) (*.p16 x.im y.im))
6.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(/.p16 (-.p16 (.p16 (.p16 x.re y.re) (.p16 x.re y.re)) (.p16 (.p16 x.im y.im) (.p16 x.im y.im))) (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)))
0.0ms	(-.p16 (.p16 (.p16 x.re y.re) (.p16 x.re y.re)) (.p16 (.p16 x.im y.im) (.p16 x.im y.im)))
0.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))
0.0ms	(.p16 (.p16 x.im y.im) (*.p16 x.im y.im))

simplify3.5s

Counts: 13 → 13

prune210.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize202.0ms

Local error

Found 4 expressions with local error:

1.4b	(/.p16 (.p16 (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)) (-.p16 (.p16 x.re y.re) (.p16 x.im y.im))) (+.p16 (.p16 x.re y.re) (*.p16 x.im y.im)))
0.3b	(-.p16 (.p16 x.re y.re) (.p16 x.im y.im))
0.2b	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))
0.2b	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

2×	`+-commutative` `p16-flip--`
1×	`sub-neg` `associate-r/` `associate-/l` `associate-/l/`

Counts

4 → 6

Calls

4 calls:

Slowest

3.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))
3.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))
3.0ms	(/.p16 (.p16 (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)) (-.p16 (.p16 x.re y.re) (.p16 x.im y.im))) (+.p16 (.p16 x.re y.re) (*.p16 x.im y.im)))
2.0ms	(-.p16 (.p16 x.re y.re) (.p16 x.im y.im))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(/.p16 (.p16 (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)) (-.p16 (.p16 x.re y.re) (.p16 x.im y.im))) (+.p16 (.p16 x.re y.re) (*.p16 x.im y.im)))
0.0ms	(-.p16 (.p16 x.re y.re) (.p16 x.im y.im))
0.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))
0.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))

simplify588.0ms

Counts: 10 → 10

prune217.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize213.0ms

Local error

Found 4 expressions with local error:

1.4b	(/.p16 (-.p16 (.p16 (.p16 x.re y.re) (.p16 x.re y.re)) (.p16 x.im (.p16 y.im (.p16 x.im y.im)))) (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)))
0.3b	(.p16 x.im (.p16 y.im (*.p16 x.im y.im)))
0.2b	(-.p16 (.p16 (.p16 x.re y.re) (.p16 x.re y.re)) (.p16 x.im (.p16 y.im (.p16 x.im y.im))))
0.2b	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

2×	`p16-flip--`
1×	`+-commutative` `sub-neg` `associate-r` `*-commutative` `associate-/l/`

Counts

4 → 6

Calls

4 calls:

Slowest

19.0ms	(.p16 x.im (.p16 y.im (*.p16 x.im y.im)))
10.0ms	(/.p16 (-.p16 (.p16 (.p16 x.re y.re) (.p16 x.re y.re)) (.p16 x.im (.p16 y.im (.p16 x.im y.im)))) (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)))
8.0ms	(-.p16 (.p16 (.p16 x.re y.re) (.p16 x.re y.re)) (.p16 x.im (.p16 y.im (.p16 x.im y.im))))
3.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))

series0.0ms

Counts

4 → 4

Calls

4 calls:

Slowest

0.0ms	(/.p16 (-.p16 (.p16 (.p16 x.re y.re) (.p16 x.re y.re)) (.p16 x.im (.p16 y.im (.p16 x.im y.im)))) (+.p16 (.p16 x.re y.re) (.p16 x.im y.im)))
0.0ms	(-.p16 (.p16 (.p16 x.re y.re) (.p16 x.re y.re)) (.p16 x.im (.p16 y.im (.p16 x.im y.im))))
0.0ms	(.p16 x.im (.p16 y.im (*.p16 x.im y.im)))
0.0ms	(+.p16 (.p16 x.re y.re) (.p16 x.im y.im))

simplify1.3s

Counts: 10 → 10

prune104.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.2b

regimes406.0ms

Accuracy

0% (0.1b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch1.0ms

end0.0ms

sample2.8s

Algorithm

halfpoints

Results